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The onset of instabilities in nonequilibrium systems

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Abstract

The nonlinear master equation previously proposed by Malek-Mansour and Nicolis is applied to the analysis of unstable transitions leading to temporally or spatially organized patterns. Thecorrelation length of the destabilizing fluctuations is determined, and a number of striking analogies with equilibrium phase transitions are pointed out.

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Nicolis, G., Malek-Mansour, M., Van Nypelseer, A. et al. The onset of instabilities in nonequilibrium systems. J Stat Phys 14, 417–432 (1976). https://doi.org/10.1007/BF01040702

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